Many studies have suggested that there is a link between exercise and healthy bones. Exercise stresses the bones and this causes them to get stronger. One study examined the effect of jumping on the bone density of growing rats. There were three groups (rats were selected at random for the three groups): a control with no jumping, a low-jump group (the jump height was 30 centimeters), and a high-jump group (60 centimeters). After 8 weeks of 10 jumps per day, 5 days per week, the bone density of the rats (expressed in mg/cm3) was measured. The data are recorded:obs group g density1 Control 1 5812 Control 1 5673 Control 1 6134 Control 1 5565 Control 1 5836 Control 1 5927 Control 1 5548 Control 1 5979 Control 1 65110 Control 1 58711 Lowjump 2 62712 Lowjump 2 65513 Lowjump 2 63114 Lowjump 2 64815 Lowjump 2 64916 Lowjump 2 62117 Lowjump 2 65018 Lowjump 2 64219 Lowjump 2 66620 Lowjump 2 62421 Highjump 3 62422 Highjump 3 60623 Highjump 3 61724 Highjump 3 64325 Highjump 3 60526 Highjump 3 61727 Highjump 3 59728 Highjump 3 62129 Highjump 3 61730 Highjump 3 603 (a) Make a table giving the sample size, mean, and standard deviation for each group of rats. Consider whether or not it is reasonable to pool the variances. (Round your answers to one decimal place.)(b) Run the analysis of variance. Report the F statistic with its degrees of freedom and P-value. What do you conclude? (Round your test statistic to two decimal places and your P-value to three decimal places.)